Answer:
x > 133/45
WORKING :
Multiply the number : 4 . 6 = 24
24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)
expand 24(9 - x) - 6(4 -7x) : 18x + 192
expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59
18x + 192 > -27x + 59
subtract 192 from both sides
18x + 192 - 192 > -27x + 59 - 192
simplify
18x > -27x - 133
add 27x to both sides
18x + 27x > - 27x - 133 + 27x
simplify
45x > - 133
Divide both sides by 45
45x/45 > 133/45
Simplify
x > 133/45
FINALLY ANSWER :
X > 133/45
Answer:
what?
Step-by-step explanation:
Answer:
6p + 4d = 36
Step-by-step explanation:
If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.
Hope this helps!
4x + 3y = 54 (1)
3x + 9y = 108 (2)
Multiply (1) by (-3)
-12x - 9y = -162
3x + 9y = 108
---------------------add
-9x = -54
x = 6
plug x = 6 into (1) to find y
4(6) + 3y = 54
24 + 3y = 54
3y = 30
y = 10
Answer
(6 , 10)
Hope it helps.
Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
